Wind Energy Design Wind Energy Design • THOMAS CORKE ROBERT NELSON Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Group, an informa business CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2018 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Printed on acid-free paper International Standard Book Number-13: 978-1-138-09602-8 (Hardback) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the validity of all materials or the consequences of their use. 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CCC is a not-for-profit organization that provides licenses and registration for a variety of users. For organizations that have been granted a photocopy license by the CCC, a separate system of payment has been arranged. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe. Library of Congress Cataloging‑in‑Publication Data Names: Corke, Thomas C., author. | Nelson, Robert C., 1942- author. Title: Wind energy design / Thomas Corke and Robert Nelson. Description: Boca Raton : Taylor & Francis, CRC Press, 2018. | Includes bibliographical references and index. Identifiers: LCCN 2018008945| ISBN 9781138096028 (hardback : alk. paper) | ISBN 9781315105468 (e-book) Subjects: LCSH: Wind turbines--Design and construction. | Wind power plants--Design and construction. Classification: LCC TJ828 .C67 2018 | DDC 621.31/2136--dc23 LC record available at https://lccn.loc.gov/2018008945 Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com To Bobbie, Catherine, Laura and Sarah for sharing the journey —TCC To my wife July and the many students I have had the opportunity to teach —RCN Contents Preface xi List of Figures xv List of Tables xxv 1 Introduction 1 1.1 History of Wind Energy . . . . . . . . . . . . . . . . . . . . . 1 1.1.1 Modern Era of Wind Energy . . . . . . . . . . . . . . 13 2 Wind Regimes 25 2.1 Origin of Wind . . . . . . . . . . . . . . . . . . . . . . . . . . 25 2.2 Atmospheric Boundary Layer . . . . . . . . . . . . . . . . . . 26 2.3 Temporal Statistics . . . . . . . . . . . . . . . . . . . . . . . 29 2.4 Wind Speed Probability . . . . . . . . . . . . . . . . . . . . . 31 2.5 Statistical Models . . . . . . . . . . . . . . . . . . . . . . . . 33 2.5.1 Weibull Distribution . . . . . . . . . . . . . . . . . . . 34 2.5.2 Methods for Weibull model fits. . . . . . . . . . . . . . 37 2.5.3 Rayleigh Distribution . . . . . . . . . . . . . . . . . . 41 2.6 Energy Estimation of Wind Regimes . . . . . . . . . . . . . . 42 2.6.0.1 Weibull-based Energy Estimation Approach 42 2.6.1 Rayleigh-based Energy Estimation Approach . . . . . 45 2.7 Wind Condition Measurement . . . . . . . . . . . . . . . . . 49 2.7.1 Wind Speed Anemometers. . . . . . . . . . . . . . . . 49 3 Introduction to Aerodynamics 57 3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 3.2 Airfoil Geometry . . . . . . . . . . . . . . . . . . . . . . . . . 60 3.3 Dimensional Analysis . . . . . . . . . . . . . . . . . . . . . . 61 3.4 Airfoil Aerodynamics . . . . . . . . . . . . . . . . . . . . . . 65 3.5 Airfoil Geometry . . . . . . . . . . . . . . . . . . . . . . . . . 67 3.6 Aerodynamic Characteristic of Three NACA Airfoils . . . . . 68 3.7 Airfoil Sensitivity to Leading edge Roughness . . . . . . . . . 72 3.8 New Airfoil Designs for the Wind Power Industry . . . . . . 74 3.9 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 vii viii Contents 4 Aerodynamic Performance 83 4.1 Momentum Theory . . . . . . . . . . . . . . . . . . . . . . . 83 4.2 Momentum Theory with Wake Rotation . . . . . . . . . . . 94 4.3 Blade Element Momentum (BEM) Theory . . . . . . . . . . 99 4.4 Prandtl’s Tip Loss Factor . . . . . . . . . . . . . . . . . . . . 104 4.5 Solution of the BEM Equations . . . . . . . . . . . . . . . . 106 4.5.1 Example BEM Equation Solution . . . . . . . . . . . . 108 5 Horizontal Wind Turbine Rotor Design 121 5.1 Designing a New wind Turbine . . . . . . . . . . . . . . . . . 121 5.2 Initial Blade Sizing . . . . . . . . . . . . . . . . . . . . . . . 122 5.2.1 Example Rotor Design . . . . . . . . . . . . . . . . . . 128 6 Wind Turbine Control 135 6.1 Aerodynamic Torque Control . . . . . . . . . . . . . . . . . . 138 6.1.1 Electrical Torque Control . . . . . . . . . . . . . . . . 139 6.2 Wind Turbine Operation Strategy . . . . . . . . . . . . . . . 141 6.2.1 Fixed Speed Designs . . . . . . . . . . . . . . . . . . . 141 6.2.2 Variable Speed Designs . . . . . . . . . . . . . . . . . 142 6.2.3 Variable Speed Adaptive Torque Control. . . . . . . . 143 6.3 Axial Induction Control . . . . . . . . . . . . . . . . . . . . . 145 7 Structural Design 161 7.1 Rotor Response to Loads . . . . . . . . . . . . . . . . . . . . 166 7.2 Rotor Vibration Modes . . . . . . . . . . . . . . . . . . . . . 171 7.3 Design for Extreme Conditions . . . . . . . . . . . . . . . . . 175 8 Wind Farms 183 8.1 Wind Turbine Wake Effects . . . . . . . . . . . . . . . . . . . 184 8.2 Wind Farm Design Optimization . . . . . . . . . . . . . . . . 189 9 Wind Turbine Acoustics 195 9.1 Acoustics Fundamentals . . . . . . . . . . . . . . . . . . . . . 196 9.2 Sound Pressure Measurement and Weighting . . . . . . . . . 198 9.3 dB Math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 200 9.4 Low Frequency and Infrasound . . . . . . . . . . . . . . . . . 201 9.5 Wind Turbine Sound Sources . . . . . . . . . . . . . . . . . . 202 9.6 Sound Propagation . . . . . . . . . . . . . . . . . . . . . . . 207 9.7 Background Sound . . . . . . . . . . . . . . . . . . . . . . . . 211 9.8 Noise Standards . . . . . . . . . . . . . . . . . . . . . . . . . 212 9.9 Wind Turbine Project Noise Assessment . . . . . . . . . . . 213 Contents ix 10 Wind Energy Storage 219 10.1 Electro-chemical Energy Storage . . . . . . . . . . . . . . . . 220 10.1.1 Lead-acid Batteries. . . . . . . . . . . . . . . . . . . . 222 10.1.2 Nickel-based Batteries. . . . . . . . . . . . . . . . . . . 222 10.1.3 Lithium-based Batteries.. . . . . . . . . . . . . . . . . 223 10.1.4 Additional Electro-chemical Storage Technologies . . . 224 10.1.5 Sodium Sulfur Batteries. . . . . . . . . . . . . . . . . . 225 10.1.6 Redox Flow Battery. . . . . . . . . . . . . . . . . . . . 225 10.1.7 Metal-air Battery. . . . . . . . . . . . . . . . . . . . . 227 10.2 Supercapacitor Storage . . . . . . . . . . . . . . . . . . . . . 227 10.3 Hydrogen Storage . . . . . . . . . . . . . . . . . . . . . . . . 229 10.4 Mechanical Energy Storage Systems . . . . . . . . . . . . . . 230 10.4.1 Pumped Storage Hydroelectricity. . . . . . . . . . . . 231 10.4.2 Compressed Air Storage.. . . . . . . . . . . . . . . . . 232 10.4.3 Flywheel Storage. . . . . . . . . . . . . . . . . . . . . 234 10.5 CAES Case Study . . . . . . . . . . . . . . . . . . . . . . . . 238 10.5.1 Cost Function. . . . . . . . . . . . . . . . . . . . . . . 240 10.5.2 Net Benefit. . . . . . . . . . . . . . . . . . . . . . . . . 243 10.6 Battery Case Study . . . . . . . . . . . . . . . . . . . . . . . 244 10.7 Hydro-electric Storage Case Study . . . . . . . . . . . . . . . 245 10.8 Buoyant Hydraulic Energy Storage Case Study . . . . . . . . 246 11 Economics 253 11.1 Cost of Energy, COE . . . . . . . . . . . . . . . . . . . . . . 254 11.2 Component Estimate Formulas . . . . . . . . . . . . . . . . . 256 11.3 Example Cost Breakdown . . . . . . . . . . . . . . . . . . . . 266 11.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 268 12 Design Summary and Trade Study 273 12.1 Design Power . . . . . . . . . . . . . . . . . . . . . . . . . . . 274 12.2 Design Structure . . . . . . . . . . . . . . . . . . . . . . . . . 275 12.3 Design Economics . . . . . . . . . . . . . . . . . . . . . . . . 276 13 New Concepts 285 13.1 Vertical Axis Wind Turbine . . . . . . . . . . . . . . . . . . . 285 13.2 Wind Focusing Concepts . . . . . . . . . . . . . . . . . . . . 288 13.2.1 Shrouded Rotors . . . . . . . . . . . . . . . . . . . . . 288 13.3 Bladeless Wind Turbine Concepts . . . . . . . . . . . . . . . 291 13.3.1 Airborne Wind Turbine Concepts. . . . . . . . . . . . 293 13.4 Other Concepts . . . . . . . . . . . . . . . . . . . . . . . . . 295 14 Appendix 301 14.1 Size Specifications of Common Industrial Wind Turbines . . 301 14.2 Design Trade Code 1: Performance and Structure . . . . . . 303 14.3 Design Trade Code 2: Economics . . . . . . . . . . . . . . . . 311
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